Answer:
see attached image
Step-by-step explanation:
F(x) = 2x + 5 is a linear graph because the exponent on x is 1. I tell my students that think of graphs having one less turn/corner that the value of the highest exponent. so since 2x has a exponent of 1, 1-1 =0 so it has no turns or its a straight line.
this has a slope of 2 or 2/1 or up 2 and right 1 from the y intercept which is 5
so mark 5 on the y axis and a from there go up 2 and right 1 and make another point. Join these points and you have your graph
and
g(x) = (x-5)/2 is its inverse and is found:
F(x) = 2x + 5 write it this way y = 2x + 5
now swap the x and y x = 2y - 5
solve for y
x = 2y + 5
- 5 -5
x - 5 = 2y
/2 /2
(x-5)/2 = y
it can be written as y = x/2 - 5/2
and graphed the same way as above with a 1/2 slope and -5/2 y intercept
Answer:
17, 19, 21
Step-by-step explanation:
x = first number
x+2 = second number
x+4 = third number
4x + 3(x+2) + 2(x+4) = 167
simplify:
4x + 3x + 6 + 2x + 8 = 167
combine like terms:
9x + 14 = 167
subtract 14 from each side of the equation:
9x = 153
divide both sides by 9:
x = 17
Answer:
There wouldn't be a fraction form because its a whole number which is 9
The inverse of the function is f(x) = 
+ 8
In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.
f(x) = ![\sqrt[3]{x - 8}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%20-%208%7D%20%20)
----> Switch f(x) and x
x = ![\sqrt[3]{f(x) - 8}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bf%28x%29%20-%208%7D%20%20)
----> Cube both sides
= f(x) - 8 ----> Add 8 to both sides
f(x) = + 8
Answer:
Notice that for any increase, x * l or x * r, in length or radius, the increase in surface area is x squared (x2) and the increase in volume is x cubed (x3).
Step-by-step explanation:
